Past Events

The course will cover modelling and analysis of ecological populations. The focus will be model formulation, mathematical analysis and biological insight. Subjects will be taken from: single species models (stochastic, continuous time, delay...

This is the last talk of this series. In the first half of the talk we will provide a global picture of how all the pieces (that we constructed throughout this series) fit together to prove Mumford's conjecture following the approach in Galatius...

In this talk we shall survey the theory of complex multiplication from its inception to the present and indicate some of the current outstanding challenges. The talk is in "colloquium style" and as such should be accessible to mathematicians that are...

A major branch of modern combinatorics, usually called Ramsey theory, studies properties of structures which are preserved under partitions. Its guiding philosophy can be neatly summarized by the statement, "Complete disorder is impossible". In this...

I will discuss recent work with Nathaniel Johnston in which we consider a family of operator norms that quantify the degree of entanglement in quantum states. The norms are defined by the Schmidt decomposition theorem for quantum states, and they can...

Interior-point methods for linear and convex quadratic programming require the solution of a sequence of symmetric indefinite linear systems to derive search directions. Safeguards are typically required to handle free variables or rank-deficient...

This presentation starts with a quick epidemiological overview that puts emphasis on neglected diseases and health disparities in the context of developing and/or poor nations. The primary emphasis is however on Tuberculosis (TB). A review of...

Over the past decade we have dramatically changed our views of the generation of immune responses. In the earlier (conventional) view, the specific immune response to a pathogen was modeled by equations similar to a simple predator-prey systems in...

Sheaves of Categories and the Main Theorem After talking about how a sheaf of categories gives rise to a topological category, I will finish the proof of the main theorem of Galatius, Madsen, Weiss and Tillmann which states that the classifying space...

Log canonical thresholds are invariants of singularities that play an important role in birational geometry. After an introduction to these invariants, I will describe recent progress on a conjecture of Shokurov predicting the Ascending Chain...